11187980 has 48 divisors (see below), whose sum is σ = 24366720. Its totient is φ = 4313088.

The previous prime is 11187973. The next prime is 11187983. The reversal of 11187980 is 8978111.

11187980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11187980.

It is not an unprimeable number, because it can be changed into a prime (11187983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115292 + ... + 115388.

It is an arithmetic number, because the mean of its divisors is an integer number (507640).

Almost surely, 2^11187980 is an apocalyptic number.

11187980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11187980 is an abundant number, since it is smaller than the sum of its proper divisors (13178740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11187980 is a wasteful number, since it uses less digits than its factorization.

11187980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 35.

The square root of 11187980 is about 3344.8437930642. The cubic root of 11187980 is about 223.6577202357.

It can be divided in two parts, 11187 and 980, that added together give a cube (12167 = 23³).

The spelling of 11187980 in words is "eleven million, one hundred eighty-seven thousand, nine hundred eighty".